A restaurant manager states the number of customers that enter the restaurant is equal to 3 times the number of people that buy a hotdog from
the hotdog cart plus 15.
The manager also states that the number of customers that enter their
restaurant is equal to 2 times the number of people that buy a hotdog from
the hotdog cart plus 60.
What number of people buying a hotdog from the hotdog cart across the
street makes the equation 3x +15 = 2x +60 true?

Yes, that is true, and x=45.

Step-by-step explanation:

Yes, that's how you set up the equation I also listed the sets to solve it below:

3x+15=2x+60

-2x.     -2x

x+15=60

  -15 -15

x=45

You can also plug it in to check your work.

3(45)+15=2(45)+60

135+15=90+60

150=150

it's d.

step-by-step explanation:

because: -1(4x + 1y) +2 (1x-3y) distribute each number into the parenthesis.

then you would get: -4x - 1y + 2x -6y combine like terms

and get: 2x -7y

hope my answer has you if not then i'm sorry.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: